Question

is 83 a prime number or a composite number? prime number composite number

Explanation:

Step1: Recall prime number definition

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Step2: Check divisors of 83

Test divisibility of 83 by numbers from 2 to $\sqrt{83}\approx9.11$. Check 2: 83 is odd, not divisible by 2. Check 3: $8 + 3 = 11$, not divisible by 3. Check 5: Ends with 3, not divisible by 5. Check 7: $7\times11 = 77$, $7\times12 = 84>83$, so not divisible by 7. Check 11: $11\times7 = 77$, $11\times8 = 88>83$. So 83 has no divisors other than 1 and 83.

Answer:

A. prime number